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202001200100 = 225271032801681
BaseRepresentation
bin1011110000100000110…
…1011011001111100100
3201022101210220011221122
42330020031123033210
511302144301400400
6232444214433112
720410530604430
oct2741015331744
9638353804848
10202001200100
1178739458487
1233195962798
1316082ac684b
149ac3bad9c0
1553c3ec2685
hex2f0835b3e4

202001200100 has 72 divisors (see below), whose sum is σ = 505826875008. Its totient is φ = 68585126400.

The previous prime is 202001200087. The next prime is 202001200133. The reversal of 202001200100 is 1002100202.

202001200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328741 + ... + 1472940.

It is an arithmetic number, because the mean of its divisors is an integer number (7025373264).

Almost surely, 2202001200100 is an apocalyptic number.

202001200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001200100 is an abundant number, since it is smaller than the sum of its proper divisors (303825674908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202001200100 is a wasteful number, since it uses less digits than its factorization.

202001200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801805 (or 2801798 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 202001200100 its reverse (1002100202), we get a palindrome (203003300302).

The spelling of 202001200100 in words is "two hundred two billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 2060 2575 2884 3605 5150 7210 10300 14420 18025 36050 72100 2801681 5603362 11206724 14008405 19611767 28016810 39223534 56033620 70042025 78447068 98058835 140084050 196117670 280168100 288573143 392235340 490294175 577146286 980588350 1154292572 1442865715 1961176700 2020012001 2885731430 4040024002 5771462860 7214328575 8080048004 10100060005 14428657150 20200120010 28857314300 40400240020 50500300025 101000600050 202001200100